Ti{ ddlmZddlZddlmZddlmZddlmZ ddlm Z ddl m Z mZmZmZmZd ZeGd d Z dd e dededefdZddZddZdS)) dataclassN)util)log)res_path)tol_path) ArrayLikeNDArrayNumberOptionalfloat64g-q=ceZdZUeed<eeed<dZeeeed<dZ eeeed<dZ ee ed<dZ dS)ArcInforadiuscenterNnormalanglesspanc"t||SN)getattr)selfitems J/DATA/AppData/hermes/venv/lib/python3.11/site-packages/trimesh/path/arc.py __getitem__zArcInfo.__getitem__!stT""") __name__ __module__ __qualname__float__annotations__r r rr rrr rrrrrs MMM G *.FHWW% &---*.FHWW% &---"D(6 !!!#####rrTpoints return_normal return_anglereturnc tj|tj}|gd|gdz }tj|dzdg|jdz}tj|}|}||z }|dz }|tj||z z} | tj krtd|tj|dz tj| z z} |gd gd z d d |z} |j | | z } tjr9tjtj|| z d | sJ| | d } |r|jdkr^tjtjtj|d dtj|dd| d<n7tjtj|d |d| d<|r^tj|| z }tj|d }tj|ddg}|t.dz kr tj}n%|dt.z krd}ntj|}t5|t.kr$tj|dkrtjdz|z }tj|ddddfj dddtjdzz}tj|ddg}|d|dcxko |dknc}|dddt;| dzz }|| d<|| d<t=di| S)a Given three points on a 2D or 3D arc find the center, radius, normal, and angular span. Parameters --------- points : (3, dimension) float Points in space, where dimension is either 2 or 3 return_normal : bool If True calculate the 3D normal unit vector return_angle : bool If True calculate the start and stop angle and span Returns --------- info Arc center, radius, and other information. dtype)rr)r*rrrr*g@zarc is colinear!g@) r*rrrrr*rr*r) r*r*r*r*r+r*r*r+)r,)axis)rr)r,rrrNr+rrr")np asanyarrayr dotshapesqrtminsumprodtolmerge ValueErrorreshapeTstrictrallcloselinalgnormunitizecrossappenddiff _TOL_ZEROpiarccosabsarctan2sortintr)r#r$r%vectorsabc2abcscaleedgeshalfdenomrba2rresultvectoredge_directionr1angler angles_sortedreverses r arc_centerrY&s*]6 4 4 4FYYY&"33G 6'1*qcFLO3 4 4D '$--C GGIIE %KE 99;; D 274%<(( (E sy+,,, rwu~~+rwu~~= >F +++ ,/M/M/M M V V   cqckkD CX\\#   *F zN}RY^^FVO!^DDfMMMMM& 1 1F O <6 ! ! $|GAJ;22BIgaj!4L4LMM  F8   $|BHgaj['!*,M,MNNF8 fvo..a000ffaVn% )a- EEE 1y= EEIcNNE u:: ! !bfn&=&C&CUQY%'EVAAArrE]_TTrT23beai?1v// "VAYAAAAq1AAAAA%&C&C!cg+.>.>.B*B&CD (xv   V  rF?c6tj|d\}} t|}n$#t$r|r|ddddfcYS|cYSwxYw|j|j|j|jf\}}}}|rtj dz}|tj z } ||ztj |zz } tj | | g} tj| dtj} t!tj| } tj|d|z } tjtj| | } tjd|| }tj|| df}||tj|dz| zz }||tj|dz| zz }|st2jrtj|dd g|dd gz }|t2jk}|sTt=jd tA||t=jd tA|tCd |dd g|dd g<|dddd |z f}|S)a Returns a version of a three point arc consisting of line segments. Parameters --------- points : (3, d) float Points on the arc where d in [2,3] close : boolean If True close the arc into a circle scale : float What is the approximate overall drawing scale Used to establish order of magnitude for precision Returns --------- discrete : (m, d) float Connected points in space T) return_2DNrrr*)r+r*r+z4failed to discretize arc (endpoint_distance=%s R=%s)zFailed arc points: %szArc endpoints diverging!r,)"rstack_3DrY BaseExceptionrrrrr/rEres seg_angleseg_fracmaxclipinfrJceilr@rAlinspacetilecosr:sinr7r<row_normr8allrwarningstrr9)r#closerNis_2D center_inforRNrVcount_acount_lcountV1V2tdiscretearc_distarc_oks rdiscretize_arcr}s*M&D999MFE ((   !!!!RaR%=    FAq%  cm#G5yS\E12G FGW% & &E GE1bf % %E   E fQi&( ) )B bhr2&& ' 'B Aue$$Awvqz**H BF1II%%g...33H BF1II%%g...33H  , : =}VQG_xB7H%HIIH*//11F = JMM  3S[[AAA !;<<<"Ar7O!R=a%i=()H Os+A A  A cn|dtjg}tj|tj}|jdkrt d|d|dkr|dxxtjdzz cc<tj|tj}|jdkrt d tj|d||dgtj}tjtj |tj |f|z|z}|S) a For 2D arcs, given a center and radius convert them to three points on the arc. Parameters ----------- center : (2,) float Center point on the plane radius : float Radius of arc angles : (2,) float Angles in radians for start and end angle if not specified, will default to (0.0, pi) Returns ---------- three : (3, 2) float Arc control points Nr.r()rzangles must be (2,)!r*rrzonly valid on 2D arcs!) r/rEr0r r2r9arraymean column_stackrirj)rrrthrees r to_threepointrs *~ru ]6 4 4 4F |t/000 ay6!9q RUQY ]6 4 4 4F |t1222Xvay&++--;2: N N NF _bfVnnbfVnn= > > G6 QE Lr)TT)FrZr) dataclassesrnumpyr/r constantsrrr`rr7typedr r r r r rDrboolrYr}rr"rrrsQ!!!!!!''''''''''''AAAAAAAAAAAAAA   ####### #.IM[[ [&*[AE[ [[[[|SSSSl))))))r